Multiple Choice Questions on If the eccentricity of an ellipse be 5 8 and the distance between its focus be 10 then its latus rec........... for NDA Exam Preparation

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Multiple Choice Questions

If the eccentricity of an ellipse be 5 8 and the distance between its focus be 10 then its latus rec...........

Mathematics (NDA) Coordinate Geometry
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    If the eccentricity of an ellipse be 5/8 and the distance between its focus be 10, then its latus rectum is -

    39/4

    Correct Answer

    39/2

    Incorrect Answer

    38/3

    Incorrect Answer

    39/7

    Incorrect Answer
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    Explanation:

    e=5/8

    2ae=10

    a=5 × 8/5

    e =√(1-b2/a2 )

    (5/8)2 =  1 –b2 /64

    25=64-b2

    b2    =39

    b=√39

    latus rectum=2b2/a

                        =2×39/8

                      =39/4

    By: bhavesh kumar singh
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